Find the locus of centroid of triangle | Find the locus of centroid of tetrahedron |

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Find the locus of centroid of triangle | Find the locus of centroid of tetrahedron | Maths

Hallo Champions , myself Nitin Kumar Gupta, Ham yaha Engineering Mathematics, physics aur chemistry sikhte hai.
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a variable plane which is at constant distance 3p from the origin cuts the coordinate axes at A,B,C. Show that the locus of centroid of triangle ABC is x^-2 +y^-2 +z^-2 = p^-2

a variable plane which is at constant distance 3p from the origin cuts the coordinate axes at A,B,C. Show that the locus of centroid of tetrahedron OABC is x^-2 +y^-2 +z^-2 = 16p^-2

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Thanks for watching 😄
NKG
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